Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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BIPROJECTIVITY OF C*r(G) AS A L1(G)-BIMODULE

  • Lee, Hun Hee (Department of Mathematics Chungbuk National University)
  • Received : 2010.09.30
  • Accepted : 2010.11.09
  • Published : 2010.12.30
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Abstract

We investigate biprojectivity of $C_{r}^{*}(G)$ as a $L^1(G)$-bimodule for a locally compact group G. The main results are the following. As a $L^1(G)$-bimodule$C_{r}^{*}(G)$ is biprojective if G is compact and is not biprojective if G is an infinite discrete group or G is a non-compact abelian group.

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References

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